Download Classwork #13 Name: Review Advisor: DO NOT FREAK OUT! This

Classwork #13
Review
Name:________________________________
Advisor: ______________________________
DO NOT FREAK OUT! This packet is intentionally big, but you DO NOT have to finish the whole thing. Mr.
Johnson just wanted to give you plenty of practice opportunities 
Multiplying Fractions
Step 1) Convert mixed numbers into fractions.
Multiply the denominator by the whole number and then add the numerator. KEEP THE
DENOMINATOR
Step 2) Multiply Straight Across
Multiply numerator #1 by numerator #2
Multiply denominator #1 by denominator #2
Step 3) Reduce/Simplify if possible
Dividing Fractions
Step 1) Flip the second fraction so that the numerator becomes the denominator and the denominator
becomes the numerator
For example: If we were looking to flip the fraction 4/5 it would become 5/4
Step 2) Now multiply the new fractions by using the same steps as when you multiply any two fractions.
Multiply straight Across
Multiply numerator #1 by numerator #2
Multiply denominator #1 by denominator #2
1)
2)
3)
4)
Add 5/30 + 7/15
5)
Multiply 10/2 by 3/4
6) Find the quotient of 10/4 and
1/2
7) Solve ¾ x 2/3 x 3/5
8) Convert 14.3241into a
percentage rounded to the
nearest whole number
9) Find the quotient of 4/5 and
2/7
10) Multiply 4/7 and 4/5
11) Divide ¾ by 1/3
13) Divide 9/10 by 2/5
14) Divide 5/6 by 3/7
12) Solve 2/9 x 4/5
Multiplying Decimals:
1) Multiply the numbers like you would in any regular multiplication question
by ignoring the decimals at first.
2) Count how many places over from the right the decimal is in the first number we multiplied.
3) Count how many places over from the right the decimal is in the second number we multiplied.
4) Add the numbers we get from step 2 and 3. Write this number down.
5) Now put the decimal over from the right the same amount of times you found in step 4
Dividing by Decimals
Steps:
1) Get ready for some LONG division!
2) Set up your equation so that the decimal on top matches the decimal in the dividend (the number
you are dividing by another number)
DIVIDEND/DIVISOR
3) Divide the dividend by the divisor like any old long division problem (pretend the decimal is not
there in the divisor!)
4) Follow the long division steps!
a. Divide
b. Multiply
c. Subtract
d. Bring Down the zero
e. AND REPEAT!!!
5) Once you have your answer, you now have to move the decimal to the right for however many
places the decimal was to the left in the divisor.
15) Divide 14 by .7
16) Divide 20 by .05
17) Divide 4 by .004
18) Divide 3.5 by .5
19) Divide 4.0 by .2
20) Divide 3.5 by .7
21) Multiply 6.5 x .04
22) Multiply 6.5 x .004
23) Multiply 25 x .25
11b) What is the difference
between multiplying 6.5 x .04
(answer in number 10) and
multiplying 6.5 x .004?
24) Divide 100 by .01
25) Divide 25 by .25
26) Multiply 42 by .6
26b) Divide 42 by .6
27a) Does multiplying by a decimal give you a
greater number or a lesser number?
28) Divide 4.5 by .09
27b) Does dividing by a decimal (without a whole
number in front) give you a greater number or a
lesser number?
29) Multiply .0004 by .003
30) Divide 16 by .004
31)
If you went shopping at Macy’s and found an amazing shirt for $53.99 and you then find out it is on sale for
30% off. How much do you save? (note: you are trying to find the product)
Add and Subtract Fractions
Step 1) Find the Least Common Denominator (LCD)
List the first 10 multiples:
Least Common Multiple:
Step 2) Convert the fractions so that both fractions have the same denominator.
DO NOT FORGET: Whatever the mother does to the sister, she has to do to the brother!
Step 3) Once we have both denominators equal we can line up the fractions to be subtracted/added.
Step 4) If a LCD is not easily found, multiply all the denominators together to get the LCD
Step 5) Add/subtract the numerator and keep the denominator
Step 6) Reduce if possible
32)
Add 1/15 and 3/5
33)
List the first ten multiples of the
following:
34)
Add 8/9 + 2/27
3:
4:
12:
What is the least common
multiple?
35)
Add 5/6 + 7/15
36)
Add 7/9 and 3/5
37) List the first ten multiples of
the following:
5:
7:
2:
What is the Least Common
Multiple?
38) Solve:
5/7 – 2/21
39) Convert .2421 into a
percentage rounded to the
nearest whole number
40) Subtract ¾ from 7/8
41) Subtract 4/5 from 8/9
42) Add:
¾ + 1/3
43) Add 4/5 + 3/12 + 9/11
44) Subtract 9/10 – 2/5
45) Subtract: 5/6 – 3/7
46) Fine the least common
multiple of 5, 6 , 4
Converting Decimals to Percentages
Steps:
1) Move the decimal two places to the right.
2) Add a percent (%) sign to the end
3) Then round
Converting Fractions into Decimals
Steps:
1) Convert the denominator into 10, 100, 1,000, 10,000 if easily done so.
a. If you change the denominator you must also change the numerator
2) You fill in the decimal starting from right to left.
2) If you cannot convert the denominator into 100, 1,000, etc. it’s time for some long division!!!
3/10 = .3
3/100 = .03
3/1000 - .003
3/10,000 = .0003
47a) Convert ¾ into a fraction
using our rules
48) Convert 7/50 into a decimal
49) Convert .23456 into a
percentage rounded to the
nearest hundredths.
50a) Convert 9/26 into a decimal.
51) Convert 6/7 into a decimal.
52) If you had 10 slices of pie and
ate 3 of them, what fraction of
the pie did you eat? What is this
fraction converted into a decimal?
53) Convert 3/5 into a decimal.
54) If your brother took one of
your eight gym shorts. What
fraction of your gym shorts did he
take? What is this number in
decimal form?
55) Convert 9/8 into a decimal.
56) Mike was asked to convert
923/10000 into a decimal He
responded with saying .923. Is he
correct why or why not?
57) Convert 23/100 into a
decimal.
58) Convert .1524 into a
percentage rounded to the
nearest whole number.
47b) Convert ¾ into a fraction
using long division.
Review
CONVERT DECIMALS TO FRACTIONS
1) Underline the non-zero number furthest to the RIGHT
2) Set up your fraction: the numbers to the right of the decimal go in the numerator and the
underlined place value from step 1 determines the denominator.
3) If there are numbers to the left of the decimal, these are written before the fraction.
4) Reduce if possible!
Converting Decimals to Percentages
Steps:
1) Move the decimal 2 places to the right. This is because to convert a decimal to a percentage, per
100, you multiply it by 100.
2) Add a percent sign to the end
3) Round to the requested place value if requested of you
59) Convert .62 into a fraction
60) Convert .4321 into a
percentage rounded to the
nearest tenths place.
61a) Convert .5 into a fraction.
61b) Convert .5 into a percentage.
62a) Convert 3.25 into a fraction.
63) Convert .892167 to a
percentage rounded to the
nearest whole number.
62b) Convert 3.25 into a
percentage.
64a) Convert .756 into a fraction.
9b) Convert .756 into a
percentage rounded to the
nearest tenths place.
65) Convert .764321 into a
fraction.
66) Convert .192345 to a
percentage rounded to the
nearest hundredth place.
67) Convert .6 into a fraction.
68) Mike was asked to convert
5.923 into a percentage rounded
to the nearest tenths place. He
responded with saying “590%”
Is he correct? Why or why not?
69) Convert 1.1 into a percentage.
70) Convert 23.15 into a fraction.
71) In your own words, explain how you convert a
decimal into a percentage rounded to a designated
place value.
72) Jose has $598.91 saved up which is .48 of the
money he needs to buy the laptop he wants. What
fraction of the total required does he have?
73) Convert .98763456 to a percentage rounded to
the nearest thousandths place.
Rounding Decimals
Steps:
1) UNDERLINE the digit in the requested place value.
2) SQUARE the digit to the RIGHT of the underlined digit. (This is the boss)
3) If the boss is a 5, 6, 7, 8, or 9, it tells the UNDERLINED digit to GO UP
If the boss is a 0, 1, 2, 3, or 4, it tells the underlined digit to stay the same
4) WRITE the new number:
a) Write the underlined digit first. (Did it stay the same or did it go up?)
c) Change all of the numbers to the right of that number to zeros
74) Round 35.6192 to the nearest
hundredth.
75) 210.4321 rounded to the
nearest whole number would be
______________________.
76) Which of the following
represents 5.987 rounded to the
nearest tenth?
What is the value of the 3?
What is the value of the 2?
77) Round 2.6001 to the nearest
tenth.
78) 72.4947 rounded to the
nearest thousandth would be
______________________.
a) 5.000
c) 6.000
b) 5.900
d) 6
e) both c and d
79) Which of the following
represents 104.1075 rounded to
the nearest hundredth?
What is the value of the 6?
What is the value of the 2?
80) 8.0993 rounded to the
nearest thousandth would be
______________________.
81) Which of the following
represents 3,632.09 rounded to
the nearest whole number?
What is the value of the 0?
a) 3,633.00
c) 3,632.00
b) 3,632.1
d) 4,000
84) Question: Round 62.004 to
the nearest whole number.
Answer: sixty-two
Is this correct? Why or why not?
83) Mike was asked to round
5.923 to the nearest hundredth.
He responded with saying “five
and ninety-three hundredths.”
Is he correct? Why or why not?
a) 104.108
c) 104.11
b) 105.11
d) 104.107
82) Round 351.5 to the nearest
whole number.
What is the value of the 3?
85) Round 99.9 to the nearest
tenth.
85b) round 99.9 to the nearest
whole number.
86) In your own words, explain how to round a
decimal.
87) Jose has $598.91 saved up. How much money
does he have rounded to the nearest dollar?
88) Create your own multiple choice rounding
problem. (Make sure the right answer is there and
that all of the other answers are tricky!)
89) Round 1,287,983.09642 in 12 different ways!
90) Round the following numbers to the nearest
whole number and then find the product of the two.
109.7 and 2,453.4
91) If Jasmine has $154.68 and wants to go shopping, should she budget for $154 or $155? Why?
92) Now look back at #17. Did you use the same method for solving that problem as you did for #18? Why?